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Amiraneli [1.4K]

4 years ago

5

The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to t

he tip of the shadow. Round the answer to the nearest tenth.
a.26.7 feetb.30.2 feetc.40.8 feetd.42.9 feet

1 answer:

mrs_skeptik [129]4 years ago

5 0

It will have to be C

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Need help solving for X

artcher [175]

X+10=110-4x

-x from both sides

10=110-5x

subtract 110 from both sides

-100=-5x

divide both sides by -5

x= 20

6 0

3 years ago

Find the volume of the following. Please round your answer to the nearest tenth. Please do not put units. Hint: You need to use

Sophie [7]

Answer:

<em>V = 1,568</em>

Step-by-step explanation:

<u>The Volume of a Square Pyramid</u>

Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:

$\displaystyle V=\frac{1}{3}a^2h$

We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft

We use Pythagora's theorem:

$25^2=h^2+7^2$

Solving for h:

$h^2=25^2-7^2=625-49=576$

$h=\sqrt{576}=24$

The height is h=24 ft. Now the volume is calculated:

$\displaystyle V=\frac{1}{3}*14^2*24$

V = 1,568

3 0

3 years ago

Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5

Ugo [173]

Answer:

$s^2 = 0.01$

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$

First, we calculate the mean

$\overline x = \frac{\sum x}{n}$

$\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}$

$\overline x = \frac{7.4}{4}$

$\overline x = 1.85$

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$ becomes

$s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}$

$s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}$

$s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}$

$s^2 = \frac{0.03}{3}$

$s^2 = 0.01$

<em>Hence, the variance is 0.01</em>

5 0

3 years ago

It takes Nate five hours to paint a wall, and it takes Jill seven hours to paint the same wall. About how many hours will it wil

Alexxx [7]

Let's use the relation:

$\mathsf{\dfrac{1}{x} = \dfrac{1}{5} + \dfrac{1}{7}}\\ \\ \\ \mathsf{\dfrac{1}{x} = \dfrac{7+5}{35}}\\ \\ \\ \mathsf{\dfrac{1}{x} = \dfrac{12}{35}}\\ \\ \\ \mathsf{x = \dfrac{35}{12}}\\ \\ \\ \boxed{\mathsf{x\approx 2.92 \ h}}$

It would take about 3 hours to complete the work.

3 0

4 years ago

Is Anyone know the answer????

Alinara [238K]

Answer:

Angle 1 = 40

Step-by-step explanation:

Angle 1 and Angle 2 are alternate angles. So,

2x + 20 = 3x + 10

3x - 2x = 20 - 10

x = 10

Angle 1 = 2x + 20 = 2 x 10 + 20 = 40

4 0

3 years ago

Read 2 more answers